In a business,$B$ is a sleeping partner and $A$ is a working partner. $A$ invests ₹ $5000$ and $B$ invests ₹ $6000$. $A$ receives $12 \frac{1}{2} \%$ of the profit for managing the business,and the remaining amount is divided in proportion to their capitals. If the total profit is ₹ $880$,what is $A$'s share of the profit (in ₹)?

$A$ and $B$ invest in a business in the ratio $4:5$. After $10$ months,$B$ leaves the business after withdrawing his investment. In the first year,the business made a profit of ₹ $49,000$. What is $A$'s share (in ₹) of this profit?

$A$,$B$ and $C$ start a business. If the ratio of their periods of investments is $2: 3: 6$ and their profits are in the ratio of $4: 5: 6$, then the ratio of capitals of $A$,$B$ and $C$ is

The average score of Rahul,Manish,and Suresh is $63$. Rahul's score is $15$ less than Ajay's and $10$ more than Manish's. If Ajay scored $30$ marks more than the average score of Rahul,Manish,and Suresh,what is the sum of Manish's and Suresh's scores?

$A$ and $B$ started a partnership business investing some amount in the ratio of $3: 5$. $C$ joined them after six months with an amount equal to that of $B$. In what proportion should the profit at the end of one year be distributed among $A, B$ and $C$?

$A, B$ and $C$ jointly thought of engaging themselves in a business venture. It was agreed that $A$ would invest ₹ $6500$ for $6$ months,$B$ ₹ $8400$ for $5$ months and $C$ ₹ $10000$ for $3$ months. $A$ wants to be the working member for which he was to receive $5 \%$ of the profits. The profit earned was ₹ $7400$. Calculate the share of $B$ in the profit. (In ₹)